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SymTFT construction of gapless exotic-foliated dual models

by Fabio Apruzzi, Francesco Bedogna, Salvo Mancani

Submission summary

Authors (as registered SciPost users):

Salvatore Mancani

Abstract

We construct Symmetry Topological Field Theories (SymTFTs) for continuous subsystem symmetries, which are inherently non-Lorentz-invariant. Our framework produces dual bulk descriptions -- gapped foliated and exotic SymTFTs -- that generate gapless boundary theories with spontaneous subsystem symmetry breaking via interval compactification. In analogy with the sandwich construction of SymTFT, we call this Mille-feuille. This is done by specifying gapped and symmetry-breaking boundary conditions. In this way we obtain the foliated dual realizations of various models, including the XY plaquette, XYZ cube, and $\phi$, $\hat{\phi}$ theories. This provides a systematic method for generating free theories that non-linearly realize subsystem symmetries.

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